On Conoids and Spheroids (Ancient Greek: Περὶ κωνοειδέων καὶ σφαιροειδέων) is a surviving work by the Greek mathematician and engineer Archimedes (c. 287 BC – c. 212 BC). Comprising 32 propositions, the work explores properties of and theorems related to the solids generated by revolution of conic sections about their axes, including paraboloids, hyperboloids, and spheroids.[1] The principal result of the work is comparing the volume of any segment cut off by a plane with the volume of a cone with equal base and axis.[2]

The work is addressed to Dositheus of Pelusium.


  1. ^ Coolidge 1945:7
  2. ^ Heath, Thomas Little (1911). "Archimedes" . In Chisholm, Hugh (ed.). Encyclopædia Britannica. 02 (11th ed.). Cambridge University Press. pp. 368–369, see page 369. (3) On Conoids and Spheroids.....